Question

Find the area of the sector of a circle with radius
4 cm and of angle 30º. Also, find the area of the
corresponding major sector. (Use t = 22/7). {
46.05 cm?​

Answer 1

Answer:

Ar. of sector = 0.942 cm^2

Ar. of major sector = 11.304 cm^2

Explanation:

Ar. of sector = theta/360° × pi × r^2 = 30°/360° × 22/7 × 4 × 4 = 1/12 × 22/7 × 16 = 1/3 × 11/7 × 2 = 0.3 × 1.57 × 2 = 0.942 cm^2

Ar. of major sector = 360° - theta / 360° × pi × r^2 = 360° - 30° / 360° × 22/7 × 4 × 4 = 330°/360° × 11/7 × 2 × 4 = 11/12 × 11/7 × 2 × 4 = 11/3 × 11/7 × 2 = 3.6 × 1.57 × 2 = 11.304 cm^2

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